What is the 5640th prime number?
The 5640th prime number is 55603. The next prime is 55609 (a gap of 6) and the one before is 55589.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 5640th one is 55603.
- 2
55603 is prime because no prime up to ā55603 ā 235.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5640th prime is close to 5640 Ć ln(5640) ā 48716, and here it is 55603.
- 4
55603 has no twin: neither 55601 nor 55605 is prime.
Primes around the 5640th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5637 | 55547 | 6 |
| 5638 | 55579 | 32 |
| 5639 | 55589 | 10 |
| 5640 | 55603 | 14 |
| 5641 | 55609 | 6 |
| 5642 | 55619 | 10 |
| 5643 | 55621 | 2 |
Questions
What is the 5640th prime number?
55603.
Which prime number is 55603?
55603 is the 5640th prime number.
What is the sum of the first 5640 primes?
147,768,365.